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Nataly [62]
3 years ago
11

The following data was collected from a simple random sample of a population.

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

C

Step-by-step explanation:

This problem is analogous to the extraction of 6 elements from a total of 10 elements. It's the same if they are marbles, chips, or in this case, people, as here we don't care about the order of the selection as we only are drawing a sample.

Thus, the problem implies solving the amount of possible combinations of 10 people if we take by 6. There is a formula for this and is:

10 C 6 = 10!(6!4!)

If we operate, knowing that for any number x, x!=x*(x-1)*(x-2)*...*1

10 C 6 = 10!(6!4!) = 10*9*8*7*6*...*1 / [(6*5*...*1) * (4*3*2*1)]

10 C 6 = 10*9*8*7*6! / [(6*5*...*1) * (4*3*2*1)]

We have a 6! multiplying and another dividing, so they get eliminated, and as 4*2=8 and 9=3*3

10 C 6 = 10*9*8*7*/ [(4*3*2*1)] = 10*3*3*8*7*/ [(8*3*1)]

We can eliminate the 8s and one of the 3s on the numerator with the one on the denominator:

10 C 6 = 10*3*7*/1 = 210/1= 210

So, option C

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The answer is 3x because 3 can go into all of those numbers as well as x

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3 years ago
At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each o
Serga [27]
<span /><span>TLDR: Equation is 5(10 + x) = 6x. x = 50, so Sheila deposited $50 each 6 trips. Sherri deposited $60 each 5 trips. Both of them deposited $300 in total.

</span>Sherri deposited $10 more into her bank account than Sheila each 5 times. Expression: 5(x + 10).

Sheila deposited money 6 times
Expression: (6)(x) or 6x

Put it all together and the equation is 5(x+10)=6x. 

Solve by distributing the 5 on the right side of the equation 5(x+10) to get 5x + 50 = 6x. Subtract 5x on both sides of equation. 5x - 5x + 50 = 6x - 5x to get 50 = 1x. Divide by 1 on each side to isolate the variable. x = 50. Sheila paid $50 in each of her 6 deposits, so she deposited $300 in total. Check the equation by replacing x with 50. 

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3 0
3 years ago
A Number m plus 4 is greater than or equal to seven
SpyIntel [72]

Answer:

m ≥ 3

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6 0
3 years ago
A ball is dropped from the top of a building that is 250 feet tall. The
Virty [35]

hi

-16t²+250 = 75

-16t² = 75 -250

-16t² = -175

  t² = -175 /-16

 t² = 175/16

Here there si two solutions :  t = \sqrt{175/16}   and  t =  - \sqrt{175/16}

However, as time cannot rewind,  we will  keep only positive solution

So t = \sqrt{175/16}

   

in seconds  it will be  :  3.3 seconds

3 0
3 years ago
I need help plz i dont know
ICE Princess25 [194]

Answer:

Hey! Ok so the height is C.10 ft.

Step-by-step explanation:

So to find the height I have to do

h=Vlw =540 12·4.5=10

So therefore its 10

Hope you have a great day! I'm Eve btw Hoped this helped and consider marking this brainiest!

5 0
3 years ago
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